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Journal article
Dynamical Aspects of Macroscopic and Quantum Transitions due to Coherence Function and Time Series Events
Mathematical problems in engineering, Vol.2010, 428903
01/01/2010
Web of Science ID: WOS:000276345600001
Abstract
This study presents the application of dynamical equations able to generate alternating deformations with increasing amplitude and delayed pulses in a certain material medium. It is considered that an external force acts at certain time interval (similar to a time series) upon the material medium in the same area. Using a specific differential equation (considering nonzero initial values and using a function similar to the coherence function between the external force and the deformations inside the material), it results that modulated amplitude oscillations appear inside the material. If the order of the differential dynamical equation is higher, supplementary aspects as different delayed pulses and multiscale behaviour can be noticed. These features are similar to non-Markov aspects of quantum transitions, and for this reason the mathematical model is suitable for describing both quantum phenomena and macroscopic aspects generated by sequence of pulses. An example of a quantum system, namely, the Hydrogen atom, is discussed.
Details
- Title
- Dynamical Aspects of Macroscopic and Quantum Transitions due to Coherence Function and Time Series Events
- Publication Details
- Mathematical problems in engineering, Vol.2010, 428903
- Resource Type
- Journal article
- Publisher
- Hindawi
- Format
- link
- Number of pages
- 14
- Copyright
- Copyright © 2010 Ezzat G. Bakhoum and Cristian Toma. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
- Identifiers
- WOS:000276345600001; 99380176857106600
- Academic Unit
- Hal Marcus College of Science and Engineering ; Dr. Muhammad Harunur Rashid Department of Electrical and Computer Engineering
- Language
- English